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Finding the Fourth Proportional to 604.89, 834.60 and 408.96

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Solution

The fourth proportional to 604.89, 834.60 and 408.96 is: 564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.89 : 834.60 = 408.96 : x
  2. Step 2: Convert to fraction form
    604.89/834.60 = 408.96/x
  3. Step 3: Cross multiply
    604.89x = 834.60 × 408.96
  4. Step 4: Simplify right side
    604.89x = 341,318.02
  5. Step 5: Solve for x
    x = 341,318.02/604.89
  6. Step 6: Final answer
    x = 564.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.